In how many different ways can four students stand in a straight line if two of the students refuse to stand next to each other?

Answers

Answer 1

Hey there! I'm happy to help!

Let's look at each spot in the line from left to right and see how many choices they are.

In spot 1, we have 4 choices. Let's say that we choose the student who doesn't want to stand next to to the other student. This means that in the next slot, there are only 2 choices because he cannot stand by the other student. Now when we move to spot number three, there are only two choices left, and then there is 1.

4×2×2×1=16

So, there are 16 different ways the students can stand in a straight line if two of the students refuse to stand next to each other.

Have a wonderful day! :D

Answer 2

Answer:

16

Step-by-step explanation:


Related Questions

YALL ARE WIZARDS IF YALL CAN DO IT

Answers

Answer:

So, lets say the refridgerator started at 37 degrees F alright?

Step-by-step explanation:

37 - 4 = 33

33 + 2 = 35

35 - 7 = 28

28 - 1 = 27

27 + 3 = 30

30 + 1 = 31

So the final temurature at 2:00pm would be 31 degrees F

Hope this helped :)

Lashonda started to run on a treadmil, after setting it's timer for 64 minutes, The display states that she has finnished 68% of her run, how many minutes have gone by?

Answers

Step-by-step explanation:

It is 64*0.32=20.48 minutes or 20.5 minutes.

Answer:

43.52

Step-by-step explanation:

first you have to multiply the amount of time in all by the percent she has done. then after that you divide by 100.

Mrs. Piazza invested $8000 in a certificate of deposit that pays 3% simple interest for 4 years. How much will be in Mrs. Piazza's account at the end of 4 years?

Answers

Answer:

$8960

Step-by-step explanation:

Given

principal =  $8000

rate= 3%= 0.03

time = 4 years

Required

the final amount, we assume that this is a simple interest investment.

Step two:

[tex]A= P(1+rt)\\\\A=8000(1+0.03*4)\\\\A=8000(1+0.12)\\\\A=8000*(1.12)\\\\A=8960[/tex]

The final amount in the account is $8960

2+2
4+6
12+100
120x670

Step by step

Answers

Step-by-step explanation:

2+2=4

4+6=10

12+100=112

120×670=80,400

Translate the sentence into an inequality.
Twice x is less than or equal to - 18.

Answers

Answer:

[tex]2x\leq -18[/tex]

Step-by-step explanation:

[tex]2x \leq -18[/tex]

the first side is

twice x

2 times x

the symbol means less than or equal to

and finally we have the -18

Answer:

2x<_-18

Step-by-step explanation:

Twice means 2x and less than means <_ and -18

Susan can swim 105 meters in 70 seconds. At this rate, how far can she swim in 30 seconds?

Answers

Answer:

45 meters per 30 seconds

Step-by-step explanation:

To figure this question out you first gave to find the unit rate of meters per second by dividing 105 by 70.

105 divided by 70 = 1.5

So Susan can swim 1.5 meters per second.

Then we multiply that amount by 30 to find the number of meters she can swim in 30 seconds.

1.5 x 30 = 45 meters

So, in conclusion, Susan can swim 45 meters per 30 seconds

Someone please explain, it's most of my homework! I already did half the problem! Ellie bought 5 cups of apple juice and 7 sandwiches for $25.00. Jim bought 2 cups of apple juice and 3 sandwiches for $10.50. How much did each cup of apple juice cost? How much did each sandwich cost. I set up the equations 5a+7s=25 and 2a+3s=10.5. How do I solve them?

Answers

Answer:

St rt ok is et cell pic ch se art on FB

sandwich = 2.5
apple juice = 1.5

A school chorus has 90 sixth-grade students and 75 seventh-grade students. The music director wants to make groups of performers, with the same combination of sixth- and seventh-grade students in each group. She wants to form as many groups as possible. If the largest group was formed, how many students of each grade level would be in each group?

Answers

Answer:

The music director can form a total of 15 groups

6 Sixth grade students per group

5 Seventh grade students per group

Step-by-step explanation:

Sixth grade students = 90

Seventh grade students = 75

Find the highest common factor of 75 and 90

90 = 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90.

75 = 1, 3, 5, 15, 25, 75

The highest common factor of 75 and 90 is 15

Therefore, the music director can form a total of 15 groups

Sixth grade students per group = 90 / 15

= 6 Sixth grade students per group

Seventh grade students per group = 75 / 15

= 5 Seventh grade students per group

(-3f+9)-(2-6f) what’s the answer

Answers

Answer:

jhi

Step-by-step explanation:

Answer:

3f+7

Step-by-step explanation:

2x^2-11x + 5.o-x^2 + 4x +371 =0

Answers

Here , I think this is it .

Some one please I am failing math really bad

Answers

1/2 I think. Even though you already got heads 10 times you still have a 1/2 chance to get it again.
I think the answer would be 1/2

Please help me with 9

Answers

Answer:

Fourth choice, 1/6

Step-by-step explanation:

15 + 8 + 10 + 12 + 15 = 60

Out of 60 cards, 10 of them is the go again card, so it's 10/60 which simplified is 1/6

Can you solve this by explaining.

Answers

Answer:

The answer is 1

Step-by-step explanation:

Start by solving the division part of the equation. In order to do that, you have to flip the fraction (reciprocal) and switch from division to multiplication, thus getting 3 x 3 = 9. Now you have 9 – 9 + 1, and from there you can simply work from left to right and get your final answer: 1.

Answer
1
Explanation

To divide by a fraction, multiply by the reciprocal of that fraction

9-3x3+1

Multiply the numbers

9-9+1

Since two opposites add up to zero, remove them from the expression

1

ok so tomorrow i have exams omg haha im so scareddd!!!!!

Answers

hopefully yu pass !

Answer:

Best of luck! I hope your exam goes well!!!

Which equation represents a line which is perpendicular to the line y = 4/3x-6

Answers

In order to be perpendicular, you must have a slope that is the opposite reciprocal, so the slope should by -3/4. So the equation could be y = -3/4x with any other number at the end.

Frank ate half of his jellybeans and then bought a package with 16 more. If he now has 20 remaining jellybeans, how many did he have in the beginning?

Answers

Answer:

8

Step-by-step explanation:

20-16=4       4*2=8

u = 4i + 9j
8= -8j
Find: u +g

Answers

Answer:

4i + j

Step-by-step explanation:

I think you meant g instead of 8.

Given:

u = 4i + 9j

g = -8j

u + g

(4i + 9j)  + (-8j)

4i + j

1) Find Area of this polygon 4 cm I 5cm 1 cm 7 cm and the other one

Answers

For the top problem, you split it to make two rectangles and so you have 4 times 5 =20 plus 1 times 3 so the answer is 23cm squared

Noah has been getting $20 a month for his allowance. He puts $8 of his allowance in the bank. How many months will it take him to save $128?

Answers

16 months !!! as answered previously

Create an algebraic equation for the word problem below:

Canadian Tire is selling coffee mugs. A coffee mug costs $5 and each day the price increases by $2.

Answers

Answer:

5+d2

Step-by-step explanation:

We'll make d=day

5+d2

5 is the base price

and 2 is the number that increases by day

Please tell me if it's incorrect

Happy Holidays!

Sierra's ice cream shop made $45 before she had to close early when the power went out. She realized she lost Two-thirds of a dollar each hour when the shop was closed. The expression that models this situation is 45 minus two-thirds h. What was Sierra's profit if the shop was closed for 6 hours? $24 $36 $41 $49

Answers

Answer:

the profit in the case when the shop is closed for 6 hours is $41

Step-by-step explanation:

The computation of the profit in the case when the shop is closed for 6 hours is shown below:

= Expression of the situation × number of hours in which the shop is closed

= 45 - 2 ÷ 3 × 6 hours

= $41

hence, the profit in the case when the shop is closed for 6 hours is $41

Therefore the third option is correct

Answer:

c

Step-by-step explanation:

use the function y=3/2x+3 to complete the table of values

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

Putting all the values of y=9, 6, 0, and -3 to complete the table

FOR y=9

putting y=9

switch sides

subtract 3 from both sides

Hence,

when y=9, x=4

FOR y=6

putting y=6

switch sides

subtract 3 from both sides

Hence,

when y=6, x=2

FOR y=0

putting y=0

switch sides

subtract 3 from both sides

Hence,

when y=0, x=-2

FOR y=-3

putting y=-3

switch sides

subtract 3 from both sides

Hence,

when y=-3, x=-4

Hence, the table becomes:

x                     y

9                    4

6                    2

0                    -2

-3                   -4

Assume you know that a hot-air balloon is currently inflated with a certain amount of air and that the amount is a percent of the total amount required to inflate the balloon. Explain how you would determine the total amount of air required to inflate the balloon.

Answers

Answer:

Percent air is calculated as:

Percent air = Current amount/Total amount *100

Solve for total amount of air:

Total amount  = Current amount / Percent air * 100

Substitute the values in hand to get the answer

How do i solve 4x+3=35?

(I really appreciate everyones help )

Answers

Answer:

x=8

Step-by-step explanation:

1. Subtract the 3 from both side so the new equation states 4x=32

2. Divide both sides by 4 for the final answer of x=8

Answer:

That is the answer.

Step-by-step explanation:

l hope it helps ❤❤❤

Slope of line a is ½. What is the equation of a line that is parallel to line a? Y+½x=2 -2x+y+2=0 2x-2=y -½x+y-2=0

Answers

Answer:

The equation of a line that is parallel to line a is y=½x + 2, or what is the same -½x+y-2=0

Step-by-step explanation:

A line is a polynomial function of the first degree that has the following form:

y = m * x + b

where m is the slope of the line and b is the intercept with the Y axis.  The slope is the inclination of the line with respect to the abscissa axis.

In this case you know that the slope of line a is ½.  

Parallel lines are two or more lines in a plane that never intersect. Two lines are parallel if they have the same slope and different y-intercepts.

You have:

y+½x=2       →       y= -½x +2-2x+y+2=0       →       y=2x -22x-2=y       -½x+y-2=0       →       y=½x + 2

The line that has the same slope as line a is the last one, so the equation of a line that is parallel to line a is y=½x + 2, or what is the same -½x+y-2=0

help pleasee due todayyy ! :(

Answers

Answer:

1. $434

2. 36 ways

Step-by-step explanation:

1. 350×6÷100=21

21×4=84

84+350=434

Helppppppppppppppppppppppppppp

Answers

It is not a function because -4 in the x position repeats. To be a function all the x’s have to be different

please help i don’t understand

Answers

Answer:

well i dont either

Step-by-step explanation: i'm

weird

A local charity receives 13of a fundraiser during a craft fair and a bake sale. The total amount given to charity was $137.45. How much did the bake sale raise?

Answers

Complete question :

A local Charity receives 1/3 of funds raised during a craft fair and bake sale. The total amount given to the charity was $137.45. How much did the bake sale raise

Answer:

$412.35

Step-by-step explanation:

Given that:

Fraction Given to charity from bake sale = 1/3 of amount raised

Amount given to charity = $137.45

Let amount raised from bake sale = x

Hence,

1/3 of x = 137.45

x / 3 = 137.45

x = 137.45 * 3

x = $412.35

Amount raised from bake sale = $412.35

Joshua has at most 10 dollars a cab company will charge him 4 dollars flat and a rate is 1.25 for each mile driven write and solve and inequality for the above situation

Answers

Answer:

4.8 miles

Step-by-step explanation:

First you need to figure out an equation which will be 10<or equal to 1.25m+4. In this equation m=the number of miles. Knowing this information you can now solve. You want to subtract 4 from both sides leaving you with 6 is less than or equal to 1.25m. You then divide both sides by 1.25 and you are left with 4.8 is less than or equal to m.

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